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What is the Square Root of 1440?

The square root of 1440 is 37.947331922. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1440 = 37.947331922
CalculatedNon-perfect squareIrrational
Exact form√1440
Perfect squareNo
Number typeIrrational
Verification37.9473319222 ≈ 1440

On this page

How the answer is calculated

We solve x2 = 1440. The resulting value is x = 37.947331922.

Verification: 37.9473319222 ≈ 1440.

Simplified radical form

The square root of 1440 in simplified radical form is 12√10.

This is equivalent to √1440, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal371369
Upper or equal381444

Nearby square roots

NumberSquare root
√143737.907782842
√143837.9209704517
√143937.9341534768
√144037.947331922
√144137.9605057922
√144237.9736750921
√144337.9868398264

Number properties

Is 1440 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1440 is irrational because 1440 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 1440.